Kettering have placed 11 players on the transfer list, including Jean-Paul Marna and Moses Ashikodi, the pair who came to blows on Tuesday.
Ashikodi, Marna, David Bridges and Jerel Ifil are available for loan or transfer, if a price can be agreed.
Sol Davis, Phil Ifil, Leon McKenzie, Steven Meechan, Jaime Navarro, Pat Noubissie and Djoumin Sangare can be signed or borrowed without a fee.
Chairman Imraan Ladak told the club website he wants to improve the squad.
"We have transfer-listed 11 players for varying reasons, including some who have actually performed well for the club," he said.
"It is down to the players to respond in the best way and show [manager] Mark [Stimson] that they want and deserve to play for this club."
Marna and Ashikodi were sent off after they came to blows during Tuesday's 5-3 defeat by Hayes & Yeading.
The Poppies, who are 20th in the Blue Square Bet Premier table, have fined Marna the maximum amount allowed under Football Association (FA) regulations and suspended him for one week.
The club, after deciding Ashikodi did not perform a violent act in the clash, appealed against the striker's red card unsuccessfully, and will await the FA's report before finalising his financial sanctions.
"They desperately do not want their Kettering Town careers to end on this note and want to make up for their actions," Ladak added.
"We have taken their word as men and hope our supporters give them the chance to make good their promise."